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Finding the Fourth Proportional to 97,787,088,000.40, 146,680,632,000.60 and 97,787,088,000.40

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Solution

The fourth proportional to 97,787,088,000.40, 146,680,632,000.60 and 97,787,088,000.40 is: 146,680,632,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,787,088,000.40 : 146,680,632,000.60 = 97,787,088,000.40 : x
  2. Step 2: Convert to fraction form
    97,787,088,000.40/146,680,632,000.60 = 97,787,088,000.40/x
  3. Step 3: Cross multiply
    97,787,088,000.40x = 146,680,632,000.60 × 97,787,088,000.40
  4. Step 4: Simplify right side
    97,787,088,000.40x = 14,343,471,869,396,959,363,072
  5. Step 5: Solve for x
    x = 14,343,471,869,396,959,363,072/97,787,088,000.40
  6. Step 6: Final answer
    x = 146,680,632,000.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.